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Sep 19, 2013
09/13

by
David Berenstein; Robert G. Leigh

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We discuss non-commutative field theories in coordinate space. To do so we introduce pseudo-localized operators that represent interesting position dependent (gauge invariant) observables. The formalism may be applied to arbitrary field theories, with or without supersymmetry. The formalism has a number of intuitive advantages. First it makes clear the appearance of new degrees of freedom in the infrared. Second, it allows for a study of correlation functions of (composite) operators. Thus we...

Source: http://arxiv.org/abs/hep-th/0102158v2

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Jul 20, 2013
07/13

by
David Berenstein; Robert G. Leigh

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We present a perturbative study of Ramond-Ramond backgrounds in the NSR formalism. We show how to perform sigma-model computations and discuss in detail the structure of the BRST charge and picture-changing operators. Contact terms play a vital role in the analysis. We also give evidence for a two loop non-renormalization theorem for the background beta functions.

Source: http://arxiv.org/abs/hep-th/9910145v2

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Sep 22, 2013
09/13

by
Robert G. Leigh; Moshe Rozali

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Certain classes of chiral four-dimensional gauge theories may be obtained as the worldvolume theories of D5-branes suspended between networks of NS5-branes, the so-called brane box models. In this paper, we derive the stringy consistency conditions placed on these models, and show that they are equivalent to anomaly cancellation of the gauge theories. We derive these conditions in the orbifold theories which are T-dual to the elliptic brane box models. Specifically, we show that the expression...

Source: http://arxiv.org/abs/hep-th/9807082v3

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Sep 20, 2013
09/13

by
Vijay Balasubramanian; Robert G. Leigh

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We study toroidal compactifications of Type II string theory with D-branes and nontrivial antisymmetric tensor moduli and show that turning on these fields modifies the supersymmetry projections imposed by D-branes. These modifications are seen to be necessary for the consistency of T-duality. We also show the existence of unusual BPS configurations of branes at angles that are supersymmetric because of conspiracies between moduli fields. Analysis of the problem from the point of view of the...

Source: http://arxiv.org/abs/hep-th/9611165v3

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Sep 18, 2013
09/13

by
David Berenstein; Robert G. Leigh

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In this paper we propose a unified approach to (topological) string theory on certain singular spaces in their large volume limit. The approach exploits the non-commutative structure of D-branes, so the space is described by an algebraic geometry of non-commutative rings. The paper is devoted to the study of examples of these algebras. In our study there is an auxiliary commutative algebraic geometry of the center of the (local) algebras which plays an important role as the target space...

Source: http://arxiv.org/abs/hep-th/0105229v2

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Sep 23, 2013
09/13

by
David Berenstein; Robert G. Leigh

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We consider perturbative Type II superstring theory in the covariant NSR formalism in the presence of NSNS and RR backgrounds. A concrete example that we have in mind is the geometry of D3-branes which in the near-horizon region is AdS_5 x S_5, although our methods may be applied to other backgrounds as well. We show how conformal invariance of the string path integral is maintained order by order in the number of holes. This procedure makes uses of the Fischler-Susskind mechanism to build up...

Source: http://arxiv.org/abs/hep-th/9904104v2

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Sep 22, 2013
09/13

by
Robert G. Leigh; Riccardo Rattazzi

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We reconsider post-inflation gravitino production, in the context of hidden sector supergravity models. We discuss the possible role of supersymmetry breaking from finite temperature effects in enhancing the rate for gravitino production and argue that there is no such enhancement. Our conclusion is based on a simple decoupling argument, which is independent of temperature. We also characterize the properties of goldstino-like hydrodynamic fluctuations that arise in supersymmetric models at...

Source: http://arxiv.org/abs/hep-ph/9503402v1

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Jul 20, 2013
07/13

by
Robert G. Leigh; Moshe Rozali

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We study the new ``gauge'' theories in 5+1 dimensions, and their non-commutative generalizations. We argue that the $\theta$-term and the non-commutative torus parameters appear on an equal footing in the non-critical string theories which define the gauge theories. The use of these theories as a Matrix description of M-theory on $T^5$, as well as a closely related realization as 5-branes in type IIB string theory, proves useful in studying some of their properties.

Source: http://arxiv.org/abs/hep-th/9712168v2

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Sep 19, 2013
09/13

by
David Berenstein; Robert G. Leigh

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We study four-dimensional black hole configurations which result from wrapping M5-branes on a Calabi-Yau manifold, as well as U-dual realizations. Our aim is to understand the microscopic degrees of freedom responsible for the existence of bound states of multiple branes. The details depend on the chosen U-frame; in some cases, they are massless string junctions. We also identify a perturbative description in which these states correspond to twisted strings of intersecting D3-branes at an...

Source: http://arxiv.org/abs/hep-th/9812142v1

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Sep 18, 2013
09/13

by
Robert G. Leigh; Moshe Rozali

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We discuss the large N limit of the (2,0) field theory in six dimensions. We do this by assuming the validity of Maldacena's conjecture of the correspondence between large N gauge theories and supergravity backgrounds, here $AdS_7\times S^4$. We review the spectrum of the supergravity theory and compute the spectrum of primary operators of the conformal algebra of arbitrary spin.

Source: http://arxiv.org/abs/hep-th/9803068v3

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Sep 23, 2013
09/13

by
David Berenstein; Robert G. Leigh

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We construct string target spacetimes with AdS_3 x X geometry, which have an N=2 spacetime superconformal algebra. X is found to be a U(1) fibration over a manifold which is a target for an N=2 worldsheet conformal field theory. We emphasize theories with free field realizations where in principle it is possible to compute the full one-particle string spectrum.

Source: http://arxiv.org/abs/hep-th/9904040v2

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Sep 22, 2013
09/13

by
David Berenstein; Robert G. Leigh

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We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most general choice of discrete torsion parameter. By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. This identifies new mirror pairs and suggests new dualities at large N. As a by-product we also get a more geometric picture of discrete...

Source: http://arxiv.org/abs/hep-th/0001055v1

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Jul 20, 2013
07/13

by
David Berenstein; Robert G. Leigh

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We discuss aspects of the algebraic geometry of compact non-commutative Calabi-Yau manifolds. In this setting, it is appropriate to consider local holomorphic algebras which can be glued together into a compact Calabi-Yau algebra. We consider two examples: a toroidal orbifold T^6/Z_2 x Z_2, and an orbifold of the quintic in CP_4, each with discrete torsion. The non-commutative geometry tools are enough to describe various properties of the orbifolds. First, one describes correctly the...

Source: http://arxiv.org/abs/hep-th/0009209v2

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Sep 21, 2013
09/13

by
Robert G. Leigh; Djordje Minic

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We study the large N (planar) limit of pure SU(N) 2+1 dimensional Yang-Mills theory (YM_{2+1}) using a gauge-invariant matrix parameterization introduced by Karabali and Nair. This formulation crucially relies on the properties of local holomorphic gauge invariant collective fields in the Hamiltonian formulation of YM_{2+1}. We show that the spectrum in the planar limit of this theory can be explicitly determined in the $N=\infty$, low momentum (large 't Hooft coupling) limit, using the...

Source: http://arxiv.org/abs/hep-th/0407051v2

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Jun 26, 2018
06/18

by
Laurent Freidel; Robert G. Leigh; Djordje Minic

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String theory is canonically accompanied with a space-time interpretation which determines S-matrix-like observables, and connects to the standard physics at low energies in the guise of local effective field theory. Recently, we have introduced a reformulation of string theory which does not rely on an {\it a priori} space-time interpretation or a pre-assumption of locality. This \hlt{metastring theory} is formulated in such a way that stringy symmetries (such as T-duality) are realized...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1502.08005

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Sep 18, 2013
09/13

by
David Berenstein; Vishnu Jejjala; Robert G. Leigh

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We present a consistent string theory model which reproduces the Standard Model, consisting of a D3-brane at a simple orbifold singularity. We study some simple features of the phenomenology of the model. We find that the scale of stringy physics must be in the multi-TeV range. There are natural hierarchies in the fermion spectrum and there are several possible experimental signatures of the model.

Source: http://arxiv.org/abs/hep-ph/0105042v2

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Sep 18, 2013
09/13

by
Robert G. Leigh; Anastasios C. Petkou

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We discuss the implementation of electric-magnetic duality transformations in four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In the presence of a cosmological constant duality generically modifies the Hamiltonian, nevertheless the bulk dynamics is unchanged. We pay particular attention to the boundary terms generated by the duality transformations and discuss their implications for holography.

Source: http://arxiv.org/abs/0704.0531v3

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Sep 22, 2013
09/13

by
Eduardo Fradkin; Vishnu Jejjala; Robert G. Leigh

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The quantum Hall system is known to have two mutually dual Chern-Simons descriptions, one associated with the hydrodynamics of the electron fluid, and another associated with the statistics. Recently, Susskind has made the claim that the hydrodynamic Chern-Simons theory should be considered to have a non-commutative gauge symmetry. The statistical Chern-Simons theory has a perturbative momentum expansion. In this paper, we study this perturbation theory and show that the effective action,...

Source: http://arxiv.org/abs/cond-mat/0205653v1

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Jun 28, 2018
06/18

by
Thomas Faulkner; Robert G. Leigh; Onkar Parrikar

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We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on $\mathbb{R}^{1,d-1}$. We consider the entanglement entropy across a deformed planar or spherical entangling surface in terms of a perturbative expansion in the infinitesimal shape deformation. In particular, we focus on the second order term in this expansion, known as the entanglement density. This quantity is known to be non-positive by the strong-subadditivity...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1511.05179

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Jun 30, 2018
06/18

by
Laurent Freidel; Robert G. Leigh; Djordje Minic

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In a natural extension of the relativity principle we argue that a quantum theory of gravity involves two fundamental scales associated with both dynamical space-time as well as dynamical momentum space. This view of quantum gravity is explicitly realized in a new formulation of string theory which involves dynamical phase space and in which space-time is a derived concept. This formulation naturally unifies symplectic geometry of Hamiltonian dynamics, complex geometry of quantum theory and...

Topics: Quantum Physics, High Energy Physics - Theory, Mathematics, Mathematical Physics, General...

Source: http://arxiv.org/abs/1405.3949

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Sep 23, 2013
09/13

by
Robert G. Leigh; Anastasios C. Petkou

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We consider a singleton deformation of the AdS4 higher-spin theory dual to the three-dimensional O(N) vector model. The singleton couples to the higher-spin multiplet only through a marginal boundary interaction. We argue that the effect of such a deformation is to shift N to N+1 in both sides of the holographic correspondance and we show how the gap equations of the three-dimensional O(N) vector model arise from the higher-spin theory. The singleton deformation breaks higher-spin symmetry and...

Source: http://arxiv.org/abs/1212.4421v2

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Jun 29, 2018
06/18

by
Laurent Freidel; Robert G. Leigh; Djordje Minic

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At present, our notion of space is a classical concept. Taking the point of view that quantum theory is more fundamental than classical physics, and that space should be given a purely quantum definition, we revisit the notion of Euclidean space from the point of view of quantum mechanics. Since space appears in physics in the form of labels on relativistic fields or Schrodinger wave functionals, we propose to define Euclidean quantum space as a choice of polarization for the Heisenberg algebra...

Topics: High Energy Physics - Theory, Quantum Physics, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1606.01829

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Sep 22, 2013
09/13

by
Robert G. Leigh; Lisa Randall; Riccardo Rattazzi

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We examine the models with gauge group U(1)^{k-1}\times\prod_{i=1}^k SU(n_i), which are obtained from decomposing the supersymmetry breaking model of Affleck, Dine and Seiberg containing an antisymmetric tensor field. We note that all of these models are distinct vacua of a single SU(N) gauge theory with an adjoint superfield. The dynamics of this model may be analyzed using the duality of Kutasov and Schwimmer and the deconfinement trick of Berkooz. This analysis leads to a simple picture for...

Source: http://arxiv.org/abs/hep-ph/9704246v1

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Sep 20, 2013
09/13

by
Robert G. Leigh; Matthew J. Strassler

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We note that the accidental symmetries which are present in some examples of duality imply the existence of continuously infinite sets of theories with the same infrared behavior. These sets interpolate between theories of different flavors and colors; the change in color and flavor is compensated by interactions (often non-perturbative) induced by operators in the superpotential. As an example we study the behavior of SU(2) gauge theories with 2\nf doublets; these are dual to SU(\nf-2) gauge...

Source: http://arxiv.org/abs/hep-th/9611020v1

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Jul 20, 2013
07/13

by
Robert G. Leigh; Djordje Minic; Alexandr Yelnikov

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We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new non-trivial expression for the (quasi)Gaussian part of the ground state wave-functional. We show that this wave-functional can be derived by solving the Schrodinger equation under certain assumptions. The mass spectrum of the theory is determined by the zeros of Bessel functions, and the agreement with...

Source: http://arxiv.org/abs/hep-th/0604060v4

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Sep 19, 2013
09/13

by
Vishnu Jejjala; Robert G. Leigh; Djordje Minic

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It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality is a manifestation of holography, encoding the correct scaling of the number of fundamental degrees of freedom of the UV theory. This in turn relates the Wilsonian RG flow in the UV theory to the effective gravitational dynamics in the extra dimension. The...

Source: http://arxiv.org/abs/hep-th/0302230v1

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Sep 19, 2013
09/13

by
Robert G. Leigh; Nam Nguyen Hoang

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We consider the problem of Dirac fermions propagating on a spacetime of Schr\"odinger isometry and the associated boundary Euclidean two-point function of fermionic scaling operators of the holographic dual non-relativistic conformal theory. Paying careful attention to the representations of the Schr\"odinger algebra that appear in this problem, we show carefully how the on-shell action is constructed and how the boundary theory may be renormalized consistently by the inclusion of...

Source: http://arxiv.org/abs/0909.1883v3

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Jul 20, 2013
07/13

by
Laurent Freidel; Robert G. Leigh; Djordje Minic

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We discuss an analytic approach towards the solution of pure Yang-Mills theory in 3+1 dimensional spacetime. The approach is based on the use of local gauge invariant variables in the Schr\"odinger representation and the large $N$, planar limit. In particular, within this approach we point out unexpected parallels between pure Yang-Mills theory in 2+1 and 3+1 dimensions. The most important parallel shows up in the analysis of the ground state wave-functional especially in view of the...

Source: http://arxiv.org/abs/hep-th/0604184v1

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Sep 18, 2013
09/13

by
David Berenstein; Vishnu Jejjala; Robert G. Leigh

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We review and extend recent work on the application of the non-commutative geometric framework to an interpretation of the moduli space of vacua of certain deformations of N=4 super Yang-Mills theories. We present a simple worldsheet calculation that reproduces the field theory results and sheds some light on the dynamics of the D-brane bubbles. Different regions of moduli space are associated with D5-branes of various topologies; singularities in the moduli space are associated with topology...

Source: http://arxiv.org/abs/hep-th/0006168v2

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Sep 18, 2013
09/13

by
David Berenstein; Vishnu Jejjala; Robert G. Leigh

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In this paper we present simplifying techniques which allow one to compute the quiver diagrams for various D-branes at (non-Abelian) orbifold singularities with and without discrete torsion. The main idea behind the construction is to take the orbifold of an orbifold. Many interesting discrete groups fit into an exact sequence $N\to G\to G/N$. As such, the orbifold $M/G$ is easier to compute as $(M/N)/(G/N)$ and we present graphical rules which allow fast computation given the $M/N$ quiver.

Source: http://arxiv.org/abs/hep-th/0012050v2

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Sep 22, 2013
09/13

by
Robert G. Leigh; Matthew J. Strassler

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We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying these operators, using tools similar to those employed in two-dimensional N=2 supersymmetry. In particular we rely on the work of Shifman and Vainshtein relating the $\bt$-function of the gauge coupling to the anomalous dimensions of the matter fields. Finite N=1 models, which have marginal...

Source: http://arxiv.org/abs/hep-th/9503121v1

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Sep 22, 2013
09/13

by
Robert G. Leigh; Anastasios C. Petkou

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We show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the S-operation of SL(2,Z) is that of an irrelevant current-current deformation and we point out its similarity to the dynamics of a wide class of three-dimensional CFTs. The holographic interpretation of our results raises the possibility that many three-dimensional CFTs have duals on AdS4 with SL(2,Z)...

Source: http://arxiv.org/abs/hep-th/0309177v2

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Sep 20, 2013
09/13

by
Robert G. Leigh; Kazumi Okuyama; Moshe Rozali

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We consider aspects of holography in the $pp$-wave limit of $AdS_5\times S5$. This geometry contains two $\RR4$'s, one obtained from $AdS_5$ directions, and the other from the $S 5$. We argue that the holographic direction in the $pp$-wave background can be taken to be $r$, the radial direction in the first $\RR4 $. Normalizable modes correspond to states, and non-normalizable modes correspond to deformations of the boundary theory. In the strict $pp$-wave limit, there are additional...

Source: http://arxiv.org/abs/hep-th/0204026v2

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Sep 18, 2013
09/13

by
Vishnu Jejjala; Robert G. Leigh; Djordje Minic

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Witten has presented an argument for the vanishing of the cosmological constant in 2+1 dimensions. This argument is crucially tied to the specific properties of (2+1)-dimensional gravity. We argue that this reasoning can be deconstructed to 3+1 dimensions under certain conditions. Our observation is also tied to a possibility that there exists a well-defined UV completion of (3+1)-dimensional gravity.

Source: http://arxiv.org/abs/hep-th/0212057v2

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Jun 27, 2018
06/18

by
Kewang Jin; Robert G. Leigh; Onkar Parrikar

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We show that truncating the exact renormalization group equations of free $U(N)$ vector models in the single-trace sector to the linearized level reproduces the Fronsdal equations on $AdS_{d+1}$ for all higher spin fields, with the correct boundary conditions. More precisely, we establish canonical equivalence between the linearized RG equations and the familiar local, second order differential equations on $AdS_{d+1}$, namely the higher spin Fronsdal equations. This result is natural because...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1503.06864

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Sep 18, 2013
09/13

by
David Berenstein; Vishnu Jejjala; Robert G. Leigh

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We study marginal and relevant supersymmetric deformations of the N=4 super-Yang-Mills theory in four dimensions. Our primary innovation is the interpretation of the moduli spaces of vacua of these theories as non-commutative spaces. The construction of these spaces relies on the representation theory of the related quantum algebras, which are obtained from F-term constraints. These field theories are dual to superstring theories propagating on deformations of the AdS_5xS^5 geometry. We study...

Source: http://arxiv.org/abs/hep-th/0005087v1

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Sep 17, 2013
09/13

by
Vishnu Jejjala; Robert G. Leigh; Djordje Minic

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Deconstruction provides a novel way of dealing with the notoriously difficult ultraviolet problems of four-dimensional gravity. This approach also naturally leads to a new perspective on the holographic principle, tying it to the fundamental requirements of unitarity and diffeomorphism invariance, as well as to a new viewpoint on the cosmological constant problem. The numerical smallness of the cosmological constant is implied by a unique combination of holography and supersymmetry, opening a...

Source: http://arxiv.org/abs/gr-qc/0305072v1

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Sep 23, 2013
09/13

by
Robert G. Leigh; Nam Nguyen Hoang

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We consider Lorentzian correlation functions in theories with non-relativistic Schrodinger symmetry. We employ the method developed by Skenderis and van Rees in which the contour in complex time defining a given correlation function is associated holographically with the gluing together of Euclidean and Lorentzian patches of spacetimes. This formalism extends appropriately to geometries with Schrodinger isometry.

Source: http://arxiv.org/abs/0904.4270v2

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Sep 20, 2013
09/13

by
Philip Phillips; Ting-Pong Choy; Robert G. Leigh

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We show that doped Mott insulators exhibit a collective degree of freedom, not made out of the elemental excitations, because the number of single-particle addition states at low energy per electron per spin is greater than one. The presence of such a collective degree of freedom which is not a consequence of proximity to a phase transition is a consequence of dynamical spectral weight transfer from high to low energies. This physics is captured by the charge $2e$ boson that emerges by...

Source: http://arxiv.org/abs/0802.3405v3

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Sep 20, 2013
09/13

by
Robert G. Leigh; Philip Phillips; Ting-Pong Choy

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We construct the low energy theory of a doped Mott insulator, such as the high-temperature superconductors, by explicitly integrating over the degrees of freedom far away from the chemical potential. For either hole or electron doping, a charge 2e bosonic field emerges at low energy. The charge 2e boson mediates dynamical spectral weight transfer across the Mott gap and creates a new charge e excitation by binding a hole. The result is a bifurcation of the electron dispersion below the chemical...

Source: http://arxiv.org/abs/cond-mat/0612130v3

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Sep 21, 2013
09/13

by
Robert G. Leigh; Anastasios C. Petkou; P. Marios Petropoulos

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Three-dimensional fluids with nontrivial vorticity can be described holographically. It is well-known that the Kerr-AdS geometry gives rise to a cyclonic flow. Here we note that Taub--NUT--AdS4 geometries give rise to a rotating fluid with vortex flow. The Randers and Zermelo forms of the boundary metrics provide alternative descriptions of the fluid by inertial co-moving or by accelerated observers. Such fluids possess acoustic horizons. Moreover, light propagation on the boundary Taub--NUT...

Source: http://arxiv.org/abs/1108.1393v1

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Sep 22, 2013
09/13

by
Mohammad Edalati; Juan I. Jottar; Robert G. Leigh

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We consider a (2+1)-dimensional field theory, assumed to be holographically dual to the extremal Reissner-Nordstrom AdS(4) black hole background, and calculate the retarded correlators of charge (vector) current and energy-momentum (tensor) operators at finite momentum and frequency. We show that, similar to what was observed previously for the correlators of scalar and spinor operators, these correlators exhibit emergent scaling behavior at low frequency. We numerically compute the...

Source: http://arxiv.org/abs/1001.0779v2

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Sep 19, 2013
09/13

by
Shinsuke Kawai; Esko Keski-Vakkuri; Robert G. Leigh; Sean Nowling

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We present a novel scenario where matter in a spacetime originates from a decaying brane at the origin of time. The decay could be considered as a ``Big Bang''-like event at X^0=0. The closed string interpretation is a time-dependent spacetime with a semi-infinite time direction, with the initial energy of the brane converted into energy flux from the origin. The open string interpretation can be viewed as a string theoretic non-singular initial condition.

Source: http://arxiv.org/abs/hep-th/0507163v2

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Jun 30, 2018
06/18

by
Robert G. Leigh; Onkar Parrikar; Alexander B. Weiss

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In this paper, we revisit scalar field theories in $d$ space-time dimensions possessing $U(N)$ global symmetry. Following our recent work arXiv:1402.1430v2, we consider the generating function of correlation functions of all $U(N)$-invariant, single-trace operators at the free fixed point. The exact renormalization group equations are cast as Hamilton equations of radial evolution in a model space-time of one higher dimension, in this case $AdS_{d+1}$. The geometry associated with the RG...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1407.4574

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Sep 23, 2013
09/13

by
Laurent Freidel; Robert G. Leigh; Djordje Minic; Alexandr Yelnikov

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In this note we discuss the wave functional approach to the spectrum of pure Yang-Mills theory in 2+1 and 3+1 dimensions by highlighting the issues of dynamical mass generation and the role played by the kinetic term. We extrapolate our recent analysis of 2+1 Yang-Mills theory to 3+1 dimensions, and under certain heuristic assumptions use a simple quasi-Gaussian vacuum wavefunctional for 3+1 Yang-Mills theory for a preliminary study of the spectrum of glueballs which nicely fits the available...

Source: http://arxiv.org/abs/0801.1113v1

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Sep 20, 2013
09/13

by
Shiying Dong; Eduardo Fradkin; Robert G. Leigh; Sean Nowling

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We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and non-Abelian quantum Hall fluids.

Source: http://arxiv.org/abs/0802.3231v1

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Sep 21, 2013
09/13

by
Shinsuke Kawai; Esko Keski-Vakkuri; Robert G. Leigh; Sean Nowling

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We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the problem directly from an open string point of view, at one loop. We formulate the theory of the Z_2 reflection orbifold. To do so, we extend fermionization techniques originally introduced by Polchinski and Thorlacius. We also explain how to perform the open...

Source: http://arxiv.org/abs/hep-th/0602081v1

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Jun 29, 2018
06/18

by
Vijay Balasubramanian; Jackson R. Fliss; Robert G. Leigh; Onkar Parrikar

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We consider Chern-Simons theory for gauge group $G$ at level $k$ on 3-manifolds $M_n$ with boundary consisting of $n$ topologically linked tori. The Euclidean path integral on $M_n$ defines a quantum state on the boundary, in the $n$-fold tensor product of the torus Hilbert space. We focus on the case where $M_n$ is the link-complement of some $n$-component link inside the three-sphere $S^3$. The entanglement entropies of the resulting states define framing-independent link invariants which are...

Topics: High Energy Physics - Theory, Quantum Physics

Source: http://arxiv.org/abs/1611.05460

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Sep 23, 2013
09/13

by
Tomás Andrade; Juan I. Jottar; Robert G. Leigh

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We consider the holography of the Abelian Maxwell-Chern-Simons (MCS) system in Lorentzian three-dimensional asymptotically-AdS spacetimes, and discuss a broad class of boundary conditions consistent with conservation of the symplectic structure. As is well-known, the MCS theory contains a massive sector dual to a vector operator in the boundary theory, and a topological sector consisting of flat connections dual to U(1) chiral currents; the boundary conditions we examine include double-trace...

Source: http://arxiv.org/abs/1111.5054v2

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Sep 21, 2013
09/13

by
Shinsuke Kawai; Esko Keski-Vakkuri; Robert G. Leigh; Sean Nowling

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Unstable D-branes are central objects in string theory, and exist also in time-dependent backgrounds. In this paper we take first steps to studying brane decay in spacetime orbifolds. As a concrete model we focus on the R^{1,d}/Z_2 orbifold. We point out that on a spacetime orbifold there exist two kinds of S-branes, fractional S-branes in addition to the usual ones. We investigate their construction in the open string and closed string boundary state approach. As an application of these...

Source: http://arxiv.org/abs/hep-th/0602083v1